If he leans slightly farther back (increasing the angle between his body and the vertical) but remains stationary in this new position, which of the following statements is true? Assume that the rope remains horizontal, (a) The difference between T 1 and T 2 will increase, balancing the increased torque about his feet that his weight produces when he leans farther back; (b) the difference between T 1 and T 2 will decrease, balancing the increased torque about his feet that his weight produces when he leans farther back; (c) neither T 1 nor T 2 will change, because no other forces are changing; (d) both T 1 and T 2 will change, but the difference between them will remain the same.
If he leans slightly farther back (increasing the angle between his body and the vertical) but remains stationary in this new position, which of the following statements is true? Assume that the rope remains horizontal, (a) The difference between T 1 and T 2 will increase, balancing the increased torque about his feet that his weight produces when he leans farther back; (b) the difference between T 1 and T 2 will decrease, balancing the increased torque about his feet that his weight produces when he leans farther back; (c) neither T 1 nor T 2 will change, because no other forces are changing; (d) both T 1 and T 2 will change, but the difference between them will remain the same.
If he leans slightly farther back (increasing the angle between his body and the vertical) but remains stationary in this new position, which of the following statements is true? Assume that the rope remains horizontal, (a) The difference between T1 and T2 will increase, balancing the increased torque about his feet that his weight produces when he leans farther back; (b) the difference between T1 and T2 will decrease, balancing the increased torque about his feet that his weight produces when he leans farther back; (c) neither T1 nor T2 will change, because no other forces are changing; (d) both T1 and T2 will change, but the difference between them will remain the same.
A ball of mass m = 1.95 kg is released from rest at a height h = 57.0 cm above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 7.80 cm as in Figure [b] shown below. Neglecting any energy losses
during the collision, find the following.
т
h
m
a
d
T
b
(a) Find the speed of the ball just as it touches the spring.
m/s
(b) Find the force constant of the spring.
kN/m
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to
support any additional load. Suppose the leaf spring constant is 5.05 × 105 N/m, the helper spring constant is 3.50 x 105 N/m, and y = 0.500 m.
Truck body
yo
Main leaf
spring
-"Helper"
spring
Axle
(a) What is the compression of the leaf spring for a load of 6.00 × 105 N?
m
(b) How much work is done in compressing the springs?
]
A block of mass m₁
=
10.0 kg is connected to a block of mass m₂
34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
Vm1
×
1.32
Vm2
= 1.32
×
m/s
m/s
Chapter 11 Solutions
University Physics with Modern Physics (14th Edition)
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